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Finding the Fourth Proportional to 708.68, 977.84 and 425.08

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Solution

The fourth proportional to 708.68, 977.84 and 425.08 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 977.84 = 425.08 : x
  2. Step 2: Convert to fraction form
    708.68/977.84 = 425.08/x
  3. Step 3: Cross multiply
    708.68x = 977.84 × 425.08
  4. Step 4: Simplify right side
    708.68x = 415,660.23
  5. Step 5: Solve for x
    x = 415,660.23/708.68
  6. Step 6: Final answer
    x = 586.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.